Generalized Weyl's theorem and quasi-affinity

Pietro Aiena, and Mohammed Berkani. "Generalized Weyl's theorem and quasi-affinity." Studia Mathematica 198.2 (2010): 105-120. <http://eudml.org/doc/285928>.

@article{PietroAiena2010,
abstract = {A bounded operator T ∈ L(X) acting on a Banach space X is said to satisfy generalized Weyl's theorem if the complement in the spectrum of the B-Weyl spectrum is the set of all eigenvalues which are isolated points of the spectrum. We prove that generalized Weyl's theorem holds for several classes of operators, extending previous results of Istrăţescu and Curto-Han. We also consider the preservation of generalized Weyl's theorem between two operators T ∈ L(X), S ∈ L(Y) intertwined or asymptotically intertwined by a quasi-affinity A ∈ L(X,Y).},
author = {Pietro Aiena, Mohammed Berkani},
journal = {Studia Mathematica},
keywords = {generalised Weyl theorem; intertwining},
language = {eng},
number = {2},
pages = {105-120},
title = {Generalized Weyl's theorem and quasi-affinity},
url = {http://eudml.org/doc/285928},
volume = {198},
year = {2010},
}

TY - JOUR
AU - Pietro Aiena
AU - Mohammed Berkani
TI - Generalized Weyl's theorem and quasi-affinity
JO - Studia Mathematica
PY - 2010
VL - 198
IS - 2
SP - 105
EP - 120
AB - A bounded operator T ∈ L(X) acting on a Banach space X is said to satisfy generalized Weyl's theorem if the complement in the spectrum of the B-Weyl spectrum is the set of all eigenvalues which are isolated points of the spectrum. We prove that generalized Weyl's theorem holds for several classes of operators, extending previous results of Istrăţescu and Curto-Han. We also consider the preservation of generalized Weyl's theorem between two operators T ∈ L(X), S ∈ L(Y) intertwined or asymptotically intertwined by a quasi-affinity A ∈ L(X,Y).
LA - eng
KW - generalised Weyl theorem; intertwining
UR - http://eudml.org/doc/285928
ER -